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Finding the Fourth Proportional to 41,806.44, 57,687.78 and 30,609

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Solution

The fourth proportional to 41,806.44, 57,687.78 and 30,609 is: 42,236.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,806.44 : 57,687.78 = 30,609 : x
  2. Step 2: Convert to fraction form
    41,806.44/57,687.78 = 30,609/x
  3. Step 3: Cross multiply
    41,806.44x = 57,687.78 × 30,609
  4. Step 4: Simplify right side
    41,806.44x = 1,765,765,258.02
  5. Step 5: Solve for x
    x = 1,765,765,258.02/41,806.44
  6. Step 6: Final answer
    x = 42,236.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.